size_t integrate_adaptive(
        Stepper stepper , System system , State &start_state ,
        Time &start_time , Time end_time , Time &dt ,
        Observer observer , controlled_stepper_tag
)
{
    typename odeint::unwrap_reference< Observer >::type &obs = observer;
    typename odeint::unwrap_reference< Stepper >::type &st = stepper;

    failed_step_checker fail_checker;  // to throw a runtime_error if step size adjustment fails
    size_t count = 0;
    while( less_with_sign( start_time , end_time , dt ) )
    {
        obs( start_state , start_time );
        if( less_with_sign( end_time , static_cast<Time>(start_time + dt) , dt ) )
        {
            dt = end_time - start_time;
        }

        controlled_step_result res;
        do
        {
            res = st.try_step( system , start_state , start_time , dt );
            fail_checker();  // check number of failed steps
        }
        while( res == fail );
        fail_checker.reset();  // if we reach here, the step was successful -> reset fail checker

        ++count;
    }
    obs( start_state , start_time );
    return count;
}
 std::pair< time_type , time_type > do_step( System system )
 {
     failed_step_checker fail_checker;  // to throw a runtime_error if step size adjustment fails
     controlled_step_result res = fail;
     m_t_old = m_t;
     do
     {
         res = m_stepper.try_step( system , get_current_state() , m_t , get_old_state() , m_dt );
         fail_checker();  // check for overflow of failed steps
     }
     while( res == fail );
     m_stepper.stepper().prepare_dense_output();
     this->toggle_current_state();
     return std::make_pair( m_t_old , m_t );
 }
size_t integrate_times(
        Stepper stepper , System system , State &start_state ,
        TimeIterator start_time , TimeIterator end_time , Time dt ,
        Observer observer , controlled_stepper_tag
)
{
    typename odeint::unwrap_reference< Observer >::type &obs = observer;
    typename odeint::unwrap_reference< Stepper >::type &st = stepper;
    typedef typename unit_value_type<Time>::type time_type;

    failed_step_checker fail_checker;  // to throw a runtime_error if step size adjustment fails
    size_t steps = 0;
    while( true )
    {
        Time current_time = *start_time++;
        obs( start_state , current_time );
        if( start_time == end_time )
            break;
        while( less_with_sign( current_time , static_cast<time_type>(*start_time) , dt ) )
        {
            // adjust stepsize to end up exactly at the observation point
            Time current_dt = min_abs( dt , *start_time - current_time );
            if( st.try_step( system , start_state , current_time , current_dt ) == success )
            {
                ++steps;
                // successful step -> reset the fail counter, see #173
                fail_checker.reset();
                // continue with the original step size if dt was reduced due to observation
                dt = max_abs( dt , current_dt );
            }
            else
            {
                fail_checker();  // check for possible overflow of failed steps in step size adjustment
                dt = current_dt;
            }
        }
    }
    return steps;
}